{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:FMNIO4LNENWZERDERTAMXHQYHV","short_pith_number":"pith:FMNIO4LN","canonical_record":{"source":{"id":"1403.7971","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-31T12:35:47Z","cross_cats_sorted":["stat.AP","stat.TH"],"title_canon_sha256":"febd9a0c0f8345dc98802e0ba5da4f202a50e86634fb1628b7135ccfef01ae9d","abstract_canon_sha256":"046872a5f0535ef633280ac5b4fdc5aaa28de7129f0736d3549510ebf7856068"},"schema_version":"1.0"},"canonical_sha256":"2b1a87716d236d9244648cc0cb9e183d6907dc246069c2060b297fb749a330f4","source":{"kind":"arxiv","id":"1403.7971","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7971","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7971v1","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7971","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"pith_short_12","alias_value":"FMNIO4LNENWZ","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FMNIO4LNENWZERDE","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FMNIO4LN","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:FMNIO4LNENWZERDERTAMXHQYHV","target":"record","payload":{"canonical_record":{"source":{"id":"1403.7971","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-31T12:35:47Z","cross_cats_sorted":["stat.AP","stat.TH"],"title_canon_sha256":"febd9a0c0f8345dc98802e0ba5da4f202a50e86634fb1628b7135ccfef01ae9d","abstract_canon_sha256":"046872a5f0535ef633280ac5b4fdc5aaa28de7129f0736d3549510ebf7856068"},"schema_version":"1.0"},"canonical_sha256":"2b1a87716d236d9244648cc0cb9e183d6907dc246069c2060b297fb749a330f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:12.062681Z","signature_b64":"AqGu3t2ZM9yXRDfKH5TWIAEuCGXEKMPANjxmKZ2rA3QGpeLJiZVsjsf1FkmoskxoPhSMd3N6Mj3OErQT9NrZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b1a87716d236d9244648cc0cb9e183d6907dc246069c2060b297fb749a330f4","last_reissued_at":"2026-05-18T02:55:12.062220Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:12.062220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.7971","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:55:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G+4vIlLwCXqSaf7s90NbqtQl6JQOBUKVxBkk7t89jY6M/DiebtsJ1BtBOomi424CvhRIfk6XcUVrB1KdPxxnCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:17:56.409722Z"},"content_sha256":"c9868290bc506d74f1e01b605ad5a47654f3e317fc48522a7edfc0c75a4ecb4f","schema_version":"1.0","event_id":"sha256:c9868290bc506d74f1e01b605ad5a47654f3e317fc48522a7edfc0c75a4ecb4f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:FMNIO4LNENWZERDERTAMXHQYHV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimization of the marketing mix in the health care industry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.AP","stat.TH"],"primary_cat":"math.ST","authors_text":"Changan Zhang, Danny Jin, Dominique Haughton (SAMM, Gremaq), Guangying Hua, John Lin, Qizhi Wei","submitted_at":"2014-03-31T12:35:47Z","abstract_excerpt":"This paper proposes data mining techniques to model the return on investment from various types of promotional spending to market a drug and then uses the model to draw conclusions on how the pharmaceutical industry might go about allocating marketing expenditures in a more efficient manner, potentially reducing costs to the consumer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7971","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:55:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UOBMU+d8p9j2Aaqtw3KM3a+IgCvG3DTgr9Y2X2Vl/I3Ov4cj7N1yRQa81blHMstSr3d0vin3zx2NT8At9SthBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:17:56.410065Z"},"content_sha256":"cb1ab16c68e0f87c7944ee998432b4d3a3fa69eca3a8849bfe6acc09bc3b52b7","schema_version":"1.0","event_id":"sha256:cb1ab16c68e0f87c7944ee998432b4d3a3fa69eca3a8849bfe6acc09bc3b52b7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FMNIO4LNENWZERDERTAMXHQYHV/bundle.json","state_url":"https://pith.science/pith/FMNIO4LNENWZERDERTAMXHQYHV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FMNIO4LNENWZERDERTAMXHQYHV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-20T23:17:56Z","links":{"resolver":"https://pith.science/pith/FMNIO4LNENWZERDERTAMXHQYHV","bundle":"https://pith.science/pith/FMNIO4LNENWZERDERTAMXHQYHV/bundle.json","state":"https://pith.science/pith/FMNIO4LNENWZERDERTAMXHQYHV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FMNIO4LNENWZERDERTAMXHQYHV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FMNIO4LNENWZERDERTAMXHQYHV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"046872a5f0535ef633280ac5b4fdc5aaa28de7129f0736d3549510ebf7856068","cross_cats_sorted":["stat.AP","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-31T12:35:47Z","title_canon_sha256":"febd9a0c0f8345dc98802e0ba5da4f202a50e86634fb1628b7135ccfef01ae9d"},"schema_version":"1.0","source":{"id":"1403.7971","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7971","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7971v1","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7971","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"pith_short_12","alias_value":"FMNIO4LNENWZ","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FMNIO4LNENWZERDE","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FMNIO4LN","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:cb1ab16c68e0f87c7944ee998432b4d3a3fa69eca3a8849bfe6acc09bc3b52b7","target":"graph","created_at":"2026-05-18T02:55:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"This paper proposes data mining techniques to model the return on investment from various types of promotional spending to market a drug and then uses the model to draw conclusions on how the pharmaceutical industry might go about allocating marketing expenditures in a more efficient manner, potentially reducing costs to the consumer","authors_text":"Changan Zhang, Danny Jin, Dominique Haughton (SAMM, Gremaq), Guangying Hua, John Lin, Qizhi Wei","cross_cats":["stat.AP","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-31T12:35:47Z","title":"Optimization of the marketing mix in the health care industry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7971","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c9868290bc506d74f1e01b605ad5a47654f3e317fc48522a7edfc0c75a4ecb4f","target":"record","created_at":"2026-05-18T02:55:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"046872a5f0535ef633280ac5b4fdc5aaa28de7129f0736d3549510ebf7856068","cross_cats_sorted":["stat.AP","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-31T12:35:47Z","title_canon_sha256":"febd9a0c0f8345dc98802e0ba5da4f202a50e86634fb1628b7135ccfef01ae9d"},"schema_version":"1.0","source":{"id":"1403.7971","kind":"arxiv","version":1}},"canonical_sha256":"2b1a87716d236d9244648cc0cb9e183d6907dc246069c2060b297fb749a330f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b1a87716d236d9244648cc0cb9e183d6907dc246069c2060b297fb749a330f4","first_computed_at":"2026-05-18T02:55:12.062220Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:12.062220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AqGu3t2ZM9yXRDfKH5TWIAEuCGXEKMPANjxmKZ2rA3QGpeLJiZVsjsf1FkmoskxoPhSMd3N6Mj3OErQT9NrZBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:12.062681Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7971","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9868290bc506d74f1e01b605ad5a47654f3e317fc48522a7edfc0c75a4ecb4f","sha256:cb1ab16c68e0f87c7944ee998432b4d3a3fa69eca3a8849bfe6acc09bc3b52b7"],"state_sha256":"e6ce8de7841076dde99a6c385d450363d7debfe6ba8e5261a2a8d24dd5b7d0b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2l6w6J3Rc/oEbunH1xkcodhY42NESNIzt02+KMcYBZGJo8Yh+vkuZDYPTz6vQaXMAjBjJsRtKm1imQvgObXvDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T23:17:56.411979Z","bundle_sha256":"e67ddd0cb00fdc48b1a2cbe85f94760a7484bb9ba83ff20f7584c20ea7b83e71"}}